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Finding the Third Proportional to 10,766,475 and 23,625,482.50

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Solution

The third proportional to 10,766,475 and 23,625,482.50 is: 51,842,726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766,475 : 23,625,482.50 = 23,625,482.50 : x
  2. Step 2: Convert to fraction form
    10,766,475/23,625,482.50 = 23,625,482.50/x
  3. Step 3: Cross multiply
    10,766,475x = 23,625,482.50 × 23,625,482.50
  4. Step 4: Simplify right side
    10,766,475x = 558,163,423,357,806.25
  5. Step 5: Solve for x
    x = 558,163,423,357,806.25/10,766,475
  6. Step 6: Final answer
    x = 51,842,726.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.